1) IQ scores are normally distributed, with a mean of 100 and standard deviation of 15. If a program for gifted students requires students to have an IQ at least 2.33 standard deviations above average,

a. What IQ score is the minimum to be eligible for the program?

b. What proportion of the population will be eligible?

2) IQ scores are normally distributed, with a mean of 100 and standard deviation of 15.A sample of 10 children in a gifted learner program are found to have a mean IQ of 108. Use a z-test to determine if this is significantly different from the normal population mean.

a. First, what are your specific null and alternative hypotheses (use non-directional)?

b. If you do two-tailed test, with alpha set at .05, what are your critical values of z?

c. Calculate and z.

d. Will you reject or retain the null hypothesis? What can you conclude about the children in this sample?